-4(t+3)+7(3t-2)=16(t-2)-7

Simple and best practice solution for -4(t+3)+7(3t-2)=16(t-2)-7 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for -4(t+3)+7(3t-2)=16(t-2)-7 equation:


Simplifying
-4(t + 3) + 7(3t + -2) = 16(t + -2) + -7

Reorder the terms:
-4(3 + t) + 7(3t + -2) = 16(t + -2) + -7
(3 * -4 + t * -4) + 7(3t + -2) = 16(t + -2) + -7
(-12 + -4t) + 7(3t + -2) = 16(t + -2) + -7

Reorder the terms:
-12 + -4t + 7(-2 + 3t) = 16(t + -2) + -7
-12 + -4t + (-2 * 7 + 3t * 7) = 16(t + -2) + -7
-12 + -4t + (-14 + 21t) = 16(t + -2) + -7

Reorder the terms:
-12 + -14 + -4t + 21t = 16(t + -2) + -7

Combine like terms: -12 + -14 = -26
-26 + -4t + 21t = 16(t + -2) + -7

Combine like terms: -4t + 21t = 17t
-26 + 17t = 16(t + -2) + -7

Reorder the terms:
-26 + 17t = 16(-2 + t) + -7
-26 + 17t = (-2 * 16 + t * 16) + -7
-26 + 17t = (-32 + 16t) + -7

Reorder the terms:
-26 + 17t = -32 + -7 + 16t

Combine like terms: -32 + -7 = -39
-26 + 17t = -39 + 16t

Solving
-26 + 17t = -39 + 16t

Solving for variable 't'.

Move all terms containing t to the left, all other terms to the right.

Add '-16t' to each side of the equation.
-26 + 17t + -16t = -39 + 16t + -16t

Combine like terms: 17t + -16t = 1t
-26 + 1t = -39 + 16t + -16t

Combine like terms: 16t + -16t = 0
-26 + 1t = -39 + 0
-26 + 1t = -39

Add '26' to each side of the equation.
-26 + 26 + 1t = -39 + 26

Combine like terms: -26 + 26 = 0
0 + 1t = -39 + 26
1t = -39 + 26

Combine like terms: -39 + 26 = -13
1t = -13

Divide each side by '1'.
t = -13

Simplifying
t = -13

See similar equations:

| 31*12= | | 20x-12720=-6000 | | x^2-3x/x-1 | | -4(2x-5)-18=-3(4x+7)+6x | | 20x-12720=6000 | | 4(5x+7)=3(2x+6) | | u/2-5u=u/12 | | 8(c+1)=7c-7 | | x/4+x/14=9/4 | | x+ky=7 | | 4(x-1)=21-x | | 4x+2(6x-3)=74 | | W/2=W/3+2 | | 5(22800)^-1/3 | | 3.1x+0.7=-11.7 | | 6x+2(x+12)=96 | | y/5-11/20=y/4 | | 4x+9=4(x+7) | | ln(x)+ln(x+2)=ln(4) | | 6(5x+7)-9=30x+33 | | 7x+2(5x+5)=129 | | 6-2m=4 | | v=3.14*3y*y*2X | | X+2=-4x+12 | | -2-12b-4=-86 | | 3.00+1.00x=11.00 | | 2(5x-1)=10x-2 | | 25x/-7x=12 | | X-6/3=-1 | | -3(t-1)+8t=9t-4 | | 1.2(y-10)=-2.8(y-9) | | 2x+4(5x-18)=148 |

Equations solver categories